6. Resuelve los siguientes problemas:

a) César tiene tres envases con refrescos: uno con 21 litros de jugo de naranja, otro con 24 litros de jugo de maracuyá y otro con 30 litros de jugo de toronja. Necesita envasar estos jugos en botellas iguales de la mayor capacidad posible. ¿Qué capacidad tendrá cada botella si en los envases no debe sobrar refresco?



Answer :

Final answer:

To find the capacity of each bottle, calculate the greatest common divisor of the volumes of the containers, resulting in 3 liters per bottle.


Explanation:

To calculate the capacity of each bottle, you need to find the greatest common divisor (GCD) of the volumes of the three containers.

  1. Volume of orange juice container: 21 liters
  2. Volume of passion fruit juice container: 24 liters
  3. Volume of grapefruit juice container: 30 liters

The GCD of 21, 24, and 30 is 3 liters. Therefore, each bottle should have a capacity of 3 liters to utilize all the juice without any leftover.


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